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A problem in electrical prospection and an ๐‘›-dimensional Borg-Levinson theorem

A problem in electrical prospection and an ๐‘›-dimensional Borg-Levinson theorem

We show that the Dirichlet to Neumann map for <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="minus normal upper Delta u plus upsilon u equals 0"> <mml:semantics> <mml:mrow> <mml:mo>โˆ’<!-- โˆ’ --></mml:mo> <mml:mi mathvariant="normal">ฮ”<!-- ฮ” --></mml:mi> <mml:mi>u</mml:mi> <mml:mo>+</mml:mo> <mml:mi>ฯ…<!-- ฯ… --></mml:mi> <mml:mi>u</mml:mi> <mml:mo>=</mml:mo> <mml:mn>0</mml:mn> </mml:mrow> <mml:annotation encoding="application/x-tex">- \Delta u + \upsilon u = 0</mml:annotation> โ€ฆ